Have you tried to call Verve and ask them? That would be your surest option...

IMO Lorelli Bra would not provide enough coverage or support for you.

From my limited experience, the bras that come in one-size only, instead of cup sizes, usually fit well for women with ~B cups, and are not a good option for either flat- chested or well-endowed women.

I'm an A cup, so support isn't an issue, but it didn't provide enough coverage for me to be sure that the wardrobe wouldn't malfunction mid-move. It showed so much of my small-boob cleavage (i.e. ribs) that it looked pretty vulgar. If your girls are D's, I would guess that you might have a hard time keeping them corraled in that bra. It also was sort of narrow through the back and gave me lat pooch. YMMV.

I have chesty friends (C,D) who cannot wear the bra (even size large) - way too little. However, if you're in a shop that carries Verve, it doesn't hurt to try. Shipping from Verve is expensive so weigh the options if you have to order.